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without takeing mesurment i would be makeing a guess = there are some capacitors that could be going bad.. intermetant or delayed shutdown ussally means a overheating or failing component or bad solder connections.

This is very simple to repair if have burning parts smell,replaced parts that burning smell,the parts that cause by the burning smell part,make it to dies that hard to find.My sugestion replaced the DM power board,first to get power back,than go on from there.

Burning smell can be caused by a blown component, a short, or dust burning inside circuits.In all cases do not turn TV on untill the TV had been tested and the problem is fixed as you risk to cause further damage to the unit.

Replace the Ssb (Small Signal Board) Philips p/n#313912725871 common problem.. The surface eletrolytic caps go bad and after awhile heat sends their equivilent series resistance too high and the sound fades or drops out...
It's about a $250.00 dollar board plus core and your alternative would be to pull it and send it in to PTS electronics for a rebuild.
Sorry for the bad news. Please don't kill the messenger, I simply work on them...
Bill